Finite Group Databasebeta

← Group #359113

Character table — Group #359113

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111111111112222222222222222222222224444444444444444888888888888888888888888888888888888888888888888
order12222222222222224444444444444444444444448888888888888888222222224444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ91111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ101111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1
χ121111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111
χ131111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ141111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ151111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ161111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ17111-1-1111-1-1-111-1-1-1111-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-11111-1-1-1-1iiii−i−i−i−i11-1-111-1-111-1-1ii−i−i11-1-1ii−i−i11-1-1ii−i−iii−i−iii−i−i11-1-1ii−i−i
χ18111-1-1111-1-1-111-1-1-1111-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-11111-1-1-1-1iiii−i−i−i−i11-1-111-1-1-1-111−i−iii-1-111−i−iii-1-111−i−iiiii−i−iii−i−i-1-111−i−iii
χ19111-1-1111-1-1-111-1-1-1111-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-11111-1-1-1-1iiii−i−i−i−i-1-111-1-11111-1-1ii−i−i-1-111−i−iii-1-111−i−iii−i−iii−i−iii11-1-1ii−i−i
χ20111-1-1111-1-1-111-1-1-1111-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-11111-1-1-1-1iiii−i−i−i−i-1-111-1-111-1-111−i−iii11-1-1ii−i−i11-1-1ii−i−i−i−iii−i−iii-1-111−i−iii
χ21111-1-1111-1-1-111-1-1-1111-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-1-1-1-1-11111−i−i−i−iiiii11-1-1-1-11111-1-1ii−i−i11-1-1ii−i−i-1-111−i−iiiii−i−i−i−iii-1-111−i−iii
χ22111-1-1111-1-1-111-1-1-1111-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-1-1-1-1-11111−i−i−i−iiiii11-1-1-1-111-1-111−i−iii-1-111−i−iii11-1-1ii−i−iii−i−i−i−iii11-1-1ii−i−i
χ23111-1-1111-1-1-111-1-1-1111-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-1-1-1-1-11111−i−i−i−iiiii-1-11111-1-111-1-1ii−i−i-1-111−i−iii11-1-1ii−i−i−i−iiiii−i−i-1-111−i−iii
χ24111-1-1111-1-1-111-1-1-1111-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-1-1-1-1-11111−i−i−i−iiiii-1-11111-1-1-1-111−i−iii11-1-1ii−i−i-1-111−i−iii−i−iiiii−i−i11-1-1ii−i−i
χ25111-1-1111-1-1-111-1-1-1111-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-11111-1-1-1-1−i−i−i−iiiii11-1-111-1-111-1-1−i−iii11-1-1−i−iii11-1-1−i−iii−i−iii−i−iii11-1-1−i−iii
χ26111-1-1111-1-1-111-1-1-1111-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-11111-1-1-1-1−i−i−i−iiiii11-1-111-1-1-1-111ii−i−i-1-111ii−i−i-1-111ii−i−i−i−iii−i−iii-1-111ii−i−i
χ27111-1-1111-1-1-111-1-1-1111-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-11111-1-1-1-1−i−i−i−iiiii-1-111-1-11111-1-1−i−iii-1-111ii−i−i-1-111ii−i−iii−i−iii−i−i11-1-1−i−iii
χ28111-1-1111-1-1-111-1-1-1111-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-11111-1-1-1-1−i−i−i−iiiii-1-111-1-111-1-111ii−i−i11-1-1−i−iii11-1-1−i−iiiii−i−iii−i−i-1-111ii−i−i
χ29111-1-1111-1-1-111-1-1-1111-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-1-1-1-1-11111iiii−i−i−i−i11-1-1-1-11111-1-1−i−iii11-1-1−i−iii-1-111ii−i−i−i−iiiii−i−i-1-111ii−i−i
χ30111-1-1111-1-1-111-1-1-1111-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-1-1-1-1-11111iiii−i−i−i−i11-1-1-1-111-1-111ii−i−i-1-111ii−i−i11-1-1−i−iii−i−iiiii−i−i11-1-1−i−iii
χ31111-1-1111-1-1-111-1-1-1111-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-1-1-1-1-11111iiii−i−i−i−i-1-11111-1-111-1-1−i−iii-1-111ii−i−i11-1-1−i−iiiii−i−i−i−iii-1-111ii−i−i
χ32111-1-1111-1-1-111-1-1-1111-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-1-1-1-1-11111iiii−i−i−i−i-1-11111-1-1-1-111ii−i−i11-1-1−i−iii-1-111ii−i−iii−i−i−i−iii11-1-1−i−iii
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χ362222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2000000000000000000000000-22-222-22-200000000000000000000000000000000
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χ91444-4-4-44-4-44-4-4-444400000000000000000000000022−2222−22−2222−222200000000000000000000000000000000000000000000000000000000
χ92444-4-4-44-4-44-4-4-4444000000000000000000000000−2222−222222−2222−2200000000000000000000000000000000000000000000000000000000
χ9344-44-4-4-444-4-4-44-4440000000000000000000000000000000022−2222−2222−2222−22000000000000000000000000000000000000000000000000
χ9444-44-4-4-444-4-4-44-44400000000000000000000000000000000−2222−2222−2222−2222000000000000000000000000000000000000000000000000
χ9544-4-44-4-44-444-444-4-4000000000000000000000000000000002i2−2i22i2−2i2−2i22i2−2i22i2000000000000000000000000000000000000000000000000
χ9644-4-44-4-44-444-444-4-400000000000000000000000000000000−2i22i2−2i22i22i2−2i22i2−2i2000000000000000000000000000000000000000000000000
χ974-444-4-4-44-4444-4-44-4000000000000000000000000000000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000000000000000000000000000
χ984-444-4-4-44-4444-4-44-400000000000000000000000000000000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000000000000000000000000000
χ994-44-44-4-444-4-44-44-440000000000000000000000000000000022−22−2222−222222−22000000000000000000000000000000000000000000000000
χ1004-44-44-4-444-4-44-44-4400000000000000000000000000000000−222222−2222−22−2222000000000000000000000000000000000000000000000000
χ1014-4-444-44-4-44-444-4-4400000000000000000000000022−22−222222−22−222200000000000000000000000000000000000000000000000000000000
χ1024-4-444-44-4-44-444-4-44000000000000000000000000−222222−22−222222−2200000000000000000000000000000000000000000000000000000000
χ1034-4-4-4-4-44-44-444444-400000000000000000000000022−22−2222−222222−2200000000000000000000000000000000000000000000000000000000
χ1044-4-4-4-4-44-44-444444-4000000000000000000000000−222222−2222−22−222200000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).